Question

The graph of a linear function is shown on the grid.



Which function is best represented by this graph?

A.

B.


C.


D.

Answer 1

Answer:

D

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate slope m , using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

let (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

substitute these values into the formula for m

m = $\frac{0-4}{6-0}$ = $\frac{-4}{6}$ = - $\frac{2}{3}$

the line crosses the y- axis at (0, 4 ), then c = 4

Then y = g(x), so

g(x) = - $\frac{2}{3}$ x + 4 ← linear function representing the graph